Standard Form to Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you convert from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Convert the equation 5x - 3y = -9 to slope-intercept form.

Back

y = (5/3)x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line represented by the equation y = 4 - 6x?

Back

The slope is -6.

Tags

CCSS.8.EE.B.5

Front

What is the last step to solve for y in the equation 3y = -5x + 10?

Back

Divide everything by 3.

Tags

CCSS.HSA.REI.B.3

Front

Convert the equation -3y + 5x = 12 to slope-intercept form.

Back

y = -4 + (5/3)x.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the significance of the slope being negative?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope being positive?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Tags

CCSS.8.EE.B.5